Unbounded planar domains whose second nodal line does not touch the boundary

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We show the existence of simply-connected unbounded planar domains for which the second nodal line of the Dirichlet Laplacian does not touch the boundary.
LaTeX with 2 eps figures, 5 pages; to appear in Mathematical Research Letters

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Spectral Theory, Analysis of PDEs, 35P05 (Primary); 35B05, 58J50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/124813

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511516
 http://arxiv.org/abs/math/0511516
 Math. Res. Lett. 14 (2007), no.1, pp. 107-111.

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arXiv